Question

For what value of \\(x\\) is the function \\(\\frac{1}{x-2}\\) not defined?

Answer 1

for the value of $x=2$ we have the function  f(x) = 1/(x-2) or $f(x)=\frac{1}{x-2}$  as undefined or not defined .

Step-by-step explanation:

Function undefined: A function is undefined when it gives results which are not defined for example , infinity  .

Here we have , Function f(x) = 1/(x-2) or $f(x)=\frac{1}{x-2}$ . We need to find a value of for which this is not defined . Let's find out:

We can clearly see that it's a fractional function with numerator as 1 and denominator as x-2 . For a fractional function to be undefined it's denominator must be zero i.e.  x-2 = 0 or $x-2=0$

⇒ $x-2=0$

⇒ $x-2+2=0+2$

⇒ $x=2$

Therefore, for the value of $x=2$ we have the function  f(x) = 1/(x-2) or $f(x)=\frac{1}{x-2}$  as undefined or not defined .